GCD of 381, 100, 898, 537 Calculator

Given Input numbers are 381, 100, 898, 537

In the factoring method, we have to find the divisors of all numbers

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (381, 100, 898, 537) = 1.

Given numbers are 381, 100, 898, 537

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 898 are 2 x 449

Prime factors of 537 are 3 x 179

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 381, 100, 898, 537

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(381, 100) = 38100

GCD(381, 100) = ( 381 x 100 ) / 38100

= 381 / 100

= 381

Step2:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

Step3:

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

= 1 / 537

= 1

So, Greatest Common Divisor of 381, 100, 898, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 709, 654, 558
• GCD of 839, 678, 390, 638
• GCD of 474, 116, 271, 146
• GCD of 549, 716, 964, 778
• GCD of 449, 988, 496, 406

Given numbers are 381, 100, 898, 537
The greatest common divisor of numbers 381, 100, 898, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 100, 898, 537 is 1.

1. What is the GCD of 381, 100, 898, 537?

GCD of given numbers 381, 100, 898, 537 is 1

2. How to calculate the greatest common divisor of 381, 100, 898, 537?

We can find the highest common divisor of 381, 100, 898, 537 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 381, 100, 898, 537 i.e 1.

3. How can I use the GCD of 381, 100, 898, 537Calculator?

Out the numbers 381, 100, 898, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.